### Pebbles

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

### Sweets in a Box

How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?

### Maze 100

Can you go through this maze so that the numbers you pass add to exactly 100?

# Route Product

##### Stage: 2 Challenge Level:

Can you see immediately which routes might have large products and which ones small products?
How will you know that you have checked all the routes?
How many routes can you find which use the $5$? What is the product of each one?
How many routes use the $3$? And the $4$?